63275406613056 has 567 divisors, whose sum is σ = 206664631500873. Its totient is φ = 18495362350080.

The previous prime is 63275406613033. The next prime is 63275406613057. The reversal of 63275406613056 is 65031660457236.

The square root of 63275406613056 is 7954584.

It is a perfect power (a square), and thus also a powerful number.

63275406613056 is a `hidden beast` number, since 6 + 3 + 2 + 7 + 540 + 6 + 61 + 30 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33180088366656 + 30095318246400 = 5760216^2 + 5485920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63275406612993 and 63275406613011.

It is not an unprimeable number, because it can be changed into a prime (63275406613057) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60900294585 + ... + 60900295623.

Almost surely, 2^{63275406613056} is an apocalyptic number.

63275406613056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

63275406613056 is the 7954584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63275406613056

63275406613056 is an abundant number, since it is smaller than the sum of its proper divisors (143389224887817).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63275406613056 is a wasteful number, since it uses less digits than its factorization.

63275406613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 63275406613056 in words is "sixty-three trillion, two hundred seventy-five billion, four hundred six million, six hundred thirteen thousand, fifty-six".